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RIC-0090 Number Grids

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1. Several squares have been drawn on the<br />

1–100 grid. Try multiplying the numbers<br />

diagonally opposite each other.<br />

(a) 12 x 23 = ,<br />

13 x 22 =<br />

(b) 35 x 46 = ,<br />

36 x =<br />

(c) 52 x = ,<br />

x =<br />

(d) x = ,<br />

x =<br />

(e) x = ,<br />

x =<br />

2. What do you notice about the answers?<br />

Four Squares<br />

1 2 3 4 5 6 7 8 9 10<br />

11 12 13 14 15 16 17 18 19 20<br />

21 22 23 24 25 26 27 28 29 30<br />

31 32 33 34 35 36 37 38 39 40<br />

41 42 43 44 45 46 47 48 49 50<br />

51 52 53 54 55 56 57 58 59 60<br />

61 62 63 64 65 66 67 68 69 70<br />

71 72 73 74 75 76 77 78 79 80<br />

81 82 83 84 85 86 87 88 89 90<br />

91 92 93 94 95 96 97 98 99 100<br />

3. Investigate what happens when you draw squares that are 3 cells by 3 cells.<br />

(a) x =<br />

1 2 3 4 5 6 7 8 9 10<br />

x =<br />

11 12 13 14 15 16 17 18 19 20 (b) x =<br />

21 22 23 24 25 26 27 28 29 30<br />

x =<br />

31 32 33 34 35 36 37 38 39 40 (c) x =<br />

41 42 43 44 45 46 47 48 49 50<br />

x =<br />

51 52 53 54 55 56 57 58 59 60<br />

(d) x =<br />

61 62 63 64 65 66 67 68 69 70<br />

x =<br />

71<br />

81<br />

72<br />

82<br />

73<br />

83<br />

74<br />

84<br />

75<br />

85<br />

76<br />

86<br />

77<br />

87<br />

78<br />

88<br />

79<br />

89<br />

80<br />

90<br />

4. What do you notice about the<br />

answers?<br />

91 92 93 94 95 96 97 98 99 100<br />

5. Try investigating 4x4 squares.<br />

What do you notice?<br />

1 2 3 4 5 6 7 8 9 10<br />

11 12 13 14 15 16 17 18 19 20<br />

21 22 23 24 25 26 27 28 29 30<br />

31 32 33 34 35 36 37 38 39 40<br />

41 42 43 44 45 46 47 48 49 50<br />

51 52 53 54 55 56 57 58 59 60<br />

61 62 63 64 65 66 67 68 69 70<br />

71 72 73 74 75 76 77 78 79 80<br />

81 82 83 84 85 86 87 88 89 90<br />

91 92 93 94 95 96 97 98 99 100<br />

R.I.C. Publications www.ricgroup.com.au<br />

61<br />

<strong>Number</strong> <strong>Grids</strong><br />

ISBN 978-1-86311-826-2

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